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Finding the Fourth Proportional to 7,706.37, 11,563.14 and 2,442.20

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Solution

The fourth proportional to 7,706.37, 11,563.14 and 2,442.20 is: 3,664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.37 : 11,563.14 = 2,442.20 : x
  2. Step 2: Convert to fraction form
    7,706.37/11,563.14 = 2,442.20/x
  3. Step 3: Cross multiply
    7,706.37x = 11,563.14 × 2,442.20
  4. Step 4: Simplify right side
    7,706.37x = 28,239,442.69
  5. Step 5: Solve for x
    x = 28,239,442.69/7,706.37
  6. Step 6: Final answer
    x = 3,664.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.